15 citations · 23 across the 5 of their papers we have counts for
7 papers
Equicontinuity criteria for metric-valued sets of continuous functions
Marita Ferrer, Salvador Hernandez, Luis Tarrega
Combining ideas of Troallic and Cascales, Namioka, and Vera, we prove several characterizations of \textit{almost equicontinuity} and \textit{hereditary almost equicontinuity} for…
Weight-preserving isomorphisms between spaces of continuous functions: The scalar case
Marita Ferrer, Margarita Gary, Salvador Hernandez
Let be a finite field and let and be vector spaces of -valued continuous functions defined on locally compact spaces and , r…
Nonmeasurable subgroups of compact groups
Salvador Hernández, Karl H. Hofmann, Sidney A. Morris
In 1985 S.~Saeki and K.~Stromberg published the following question: {\it Does every infinite compact group have a subgroup which is not Haar measurable?} An affirmative answer is g…
Subgroups of direct products closely approximated by direct sums
Maria V. Ferrer, Salvador Hernandez, Dmitri Shakhmatov
Let be an infinite set, be a family of (topological) groups and be its direct product. For , $p_{J}: G\to \prod_{j\in J} G…
The weights of closed subgroups of a locally compact group
Salvador Hernández, Karl H. Hofmann, Sidney A. Morris
Let be an infinite locally compact group and a cardinal satisfying for the weight of . It is shown that there is a closed subgrou…
The character of topological groups, via bounded systems, Pontryagin--van Kampen duality and pcf theory
Cristina Chis, M. Vincenta Ferrer, Salvador Hernandez +1
The Birkhoff--Kakutani Theorem asserts that a topological group is metrizable if and only if it has countable character. We develop and apply tools for the estimation of the charac…